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A platform for research: civil engineering, architecture and urbanism
Canonical duality for solving nonconvex and nonsmooth optimization problem
Abstract This paper presents an application of the canonical duality theory for solving a class of nonconvex and nonsmooth optimization problems. It is shown that by use of the canonical dual transformation, these difficult optimization problems in Rn can be converted into a one-dimensional canonical dual problems, which can be solved to obtain all extremal points. Both global and local extremality conditions can be identified by the triality theory. Applications are illustrated.
Canonical duality for solving nonconvex and nonsmooth optimization problem
Abstract This paper presents an application of the canonical duality theory for solving a class of nonconvex and nonsmooth optimization problems. It is shown that by use of the canonical dual transformation, these difficult optimization problems in Rn can be converted into a one-dimensional canonical dual problems, which can be solved to obtain all extremal points. Both global and local extremality conditions can be identified by the triality theory. Applications are illustrated.
Canonical duality for solving nonconvex and nonsmooth optimization problem
Liu, Jing (author) / Gao, David Y. (author) / Gao, Yan (author)
2008
Article (Journal)
English
Canonical duality for solving nonconvex and nonsmooth optimization problem
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